CUET-UG SERIES
Mathematics

Derivatives

21 previous year questions.

Volume: 21 Ques
Yield: High

High-Yield Trend

3
2024
18
2023

Chapter Questions
21 MCQs

01
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II
List I
(Functions)
List II
(Derivatives)
A.f(x)=sin-1xI. , x ∈ R
B.f(x)=tan-1xII. , x ∈ (-1, 1)
C.f(x)=cos-1xIII. , x ∈ (-1, 1)
D.f(x)=sin-1xIV. , x ∈ R
Choose the correct answer from the options given below :
1
A-III, B-I, C-II, D-IV
2
A-I, B-IV, C-III, D-II
3
A-II, B-I, C-III, D-IV
4
A-I, B-II, C-III, D-IV
02
PYQ 2023
medium
mathematics ID: cuet-ug-
The condition on a and b, such that for , at x=1 is:
1
b=2a
2
b=-2b
3
a=2b
4
b=-2a
03
PYQ 2023
medium
mathematics ID: cuet-ug-
If cosy = xcos(a + y), then =
1
2
3
4
04
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is equal to:
1
2
3
4
05
PYQ 2023
medium
mathematics ID: cuet-ug-
If (a is a constant) then is equal to :
1
2
3
4
06
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II
LIST I LIST II
A. I.
B. II.
C. III.
D. IV.
Choose the correct answer from the options given below:
1
A-II, B-III, C-I, D-IV
2
A-IV, B-II, C-I, D-III
3
A-III, B-I, C-IV, D-II
4
A-I, B-IV, C-III, D-II
07
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = , then is :
1
(log 10)
2
(log 10)2
3
10x (log 10)2
4
10x (log 10)
08
PYQ 2023
medium
mathematics ID: cuet-ug-
The derivative ,if is :
1
2
3
4
09
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is,
1
2
3
4
10
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is:
1
3at
2
12at3
3
6at
4
2t2
11
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = Asinx + Bcosx, Where A and B are constants, then is equal to :
1
y
2
-y
3
x
4
-x
12
PYQ 2023
medium
mathematics ID: cuet-ug-
If xy = e(x-y), then the value of at (1, 1) is :
1
2
0
3
4
1
13
PYQ 2023
medium
mathematics ID: cuet-ug-
The derivative of with respect to at (where ) is:
1
2
1
3
4
14
PYQ 2023
hard
mathematics ID: cuet-ug-
Derivative of with respect to is:
1
2
3
4
15
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is:
1
2
3
4
16
PYQ 2023
medium
mathematics ID: cuet-ug-
If then is :
1
2
3
4
17
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = x + tan x, then value of at is:
1
1
2
2
3
4
4
18
PYQ 2023
medium
mathematics ID: cuet-ug-
Differential coefficient of see ( ) with respect to x is:
1
2
3
4
19
PYQ 2024
medium
mathematics ID: cuet-ug-
Match List-I with List-II:
List-IList-II
The derivative of with respect to at is(I) -5
If , then at is(II) -6
If , then is(III) 5
If and , then at is(IV) 0
Choose the correct answer from the options given below :
1

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

2
(A)-(I), (B)-(III), (C)-(IV), (D)-(II)
3
(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
4

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

20
PYQ 2024
medium
mathematics ID: cuet-ug-
Match List-I with List-II:
List-I (Function)List-II (Derivative w.r.t. x)
(A) (I)
(B) (II)
(C) (III)
(D) (IV) 0

Choose the correct answer from the options given below.
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (III), (B) - (IV), (C) - (II), (D) - (I)
3
(A) - (I), (B) - (IV), (C) - (II), (D) - (III)
4
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
21
PYQ 2024
medium
mathematics ID: cuet-ug-
1
2
3
4

About Derivatives - CUET-UG

Derivatives is a vital chapter for CUET-UG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Derivatives PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Derivatives carry the most weight. Then, tackle the questions iteratively to solidify your understanding.